Random Mann iteration scheme and random fixed point theorems

被引：6

作者：

Duan, HG ^{[1
]}

Li, GZ

机构：

[1] Jiangxi Normal Univ, Dept Math, Jiangxi 330027, Nanchang, Peoples R China

[2] Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 01期

关键词：

random Mann iteration; random increasing (decreasing) operators; random fixed point; normal cone; Banach space;

D O I：

10.1016/j.aml.2004.07.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some concepts such as random monotone operators, random Mann iteration and so on in a separable real Banach space are introduced. Also the existence and uniqueness theorems of random fixed points for random monotone operators satisfying Condition(H) are proved. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：109 / 115

页数：7

共 50 条

[1] Random fixed point for random Fibonacci Noor iteration scheme
Malih, Sabah Hassan
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (03) : 775 - 779
[2] Random Mann iteration scheme
Choudhury, BS
[J]. APPLIED MATHEMATICS LETTERS, 2003, 16 (01) : 93 - 96
[3] On random fixed point theorems of random monotone operators
Li, GZ
Duan, HG
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (09) : 1019 - 1026
[4] On random equations and applications to random fixed point theorems
Thang, Dang H.
Anh, Ta N.
[J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2010, 18 (03) : 199 - 212
[5] NOTES ON RANDOM FIXED POINT THEOREMS
Cho, Y. J.
Khan, M. Firdosh
Salahuddin
[J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (03): : 227 - 236
[6] Random approximations and fixed point theorems
Yuan, XZ
Luo, X
Li, G
[J]. JOURNAL OF APPROXIMATION THEORY, 1996, 84 (02) : 172 - 187
[7] Random fixed point theorems and approximation
Tan, KK
Yuan, XZ
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 1997, 15 (01) : 103 - 123
[8] Random fixed point theorems for Caristi type random operators
Beg I.
Abbas M.
[J]. Journal of Applied Mathematics and Computing, 2007, 25 (1-2) : 425 - 434
[9] Random relaxation of fixed-point iteration
Verkama, M
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (04): : 906 - 912
[10] Random fixed point theorems for multivalued acyclic random maps
Shahzad, N
Khan, LA
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 1999, 17 (05) : 835 - 840

← 1 2 3 4 5 →